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131012200020996 = 223274727140817279
BaseRepresentation
bin11101110010011110100111…
…101001001011110000000100
3122011212122101110220222211100
4131302132213221023300010
5114133000441201132441
61142350101313140100
736411214310010030
oct3562364751136004
9564778343828740
10131012200020996
1138820a644814a8
121283b06085a630
135814522279258
14244d04aa0d1c0
151022ddbde0cb6
hex7727a7a4bc04

131012200020996 has 144 divisors (see below), whose sum is σ = 387958776791040. Its totient is φ = 36500442678720.

The previous prime is 131012200020853. The next prime is 131012200020997. The reversal of 131012200020996 is 699020002210131.

131012200020996 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131012200020996.

It is not an unprimeable number, because it can be changed into a prime (131012200020997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17198916 + ... + 23618363.

It is an arithmetic number, because the mean of its divisors is an integer number (2694158172160).

Almost surely, 2131012200020996 is an apocalyptic number.

It is an amenable number.

131012200020996 is an abundant number, since it is smaller than the sum of its proper divisors (256946576770044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131012200020996 is a wasteful number, since it uses less digits than its factorization.

131012200020996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40817614 (or 40817609 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 131012200020996 in words is "one hundred thirty-one trillion, twelve billion, two hundred million, twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 271 282 329 423 542 564 658 813 846 987 1084 1316 1626 1692 1897 1974 2439 2961 3252 3794 3948 4878 5691 5922 7588 9756 11382 11844 12737 17073 22764 25474 34146 38211 50948 68292 76422 89159 114633 152844 178318 229266 267477 356636 458532 534954 802431 1069908 1604862 3209724 40817279 81634558 122451837 163269116 244903674 285720953 367355511 489807348 571441906 734711022 857162859 1142883812 1469422044 1714325718 1918412113 2571488577 3428651436 3836824226 5142977154 5755236339 7673648452 10285954308 11061482609 11510472678 13428884791 17265709017 22122965218 23020945356 26857769582 33184447827 34531418034 40286654373 44245930436 53715539164 66368895654 69062836068 77430378263 80573308746 99553343481 120859963119 132737791308 154860756526 161146617492 199106686962 232291134789 241719926238 309721513052 398213373924 464582269578 483439852476 519889682623 696873404367 929164539156 1039779365246 1393746808734 1559669047869 2079558730492 2787493617468 3119338095738 3639227778361 4679007143607 6238676191476 7278455556722 9358014287214 10917683335083 14556911113444 18716028574428 21835366670166 32753050005249 43670733340332 65506100010498 131012200020996